continued fraction

noun

Mathematics.

1. a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on.

continued fraction

noun

1. a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on

Word History and Origins

Origin of continued fraction¹

First recorded in 1860–65

Example Sentences

These latest projects are primarily driven by a specific continued fraction whose nested integers form the sequence 1, 2, 3,…, Elsner says.

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Instead, prepare to be amazed by continued fractions, the dreamiest new way to celebrate a mathematical Valentine’s Day!

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My latest big-time floundering was in trying to work out the continued fraction for e.

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Here’s an introduction paraphrased from Mr. Bickford’s site: For those who don’t know, continued fractions are ways of expressing a number in the form shown to the right.

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And of course, you can continue to post comments about Fibonacci numbers, tribonacci numbers, continued fractions, or post new graphical ways to visualize the process.

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